含水层径向注入过程中流体羽流的弥散
Dispersion of a fluid plume during radial injection in an aquifer
AI总结：
针对垂向承压含水层中的径向注入问题，本文扩展非混溶流体解析解以纳入机械弥散，通过反演交汇时间并积分有效表面求速度场，解析得到界面附近平滑衰减的浓度剖面。
摘要：
本研究概述了一个在具有机械弥散的垂向承压多孔含水层中描述注入流体流动的模型。已有研究考察了该环境中非混溶流体流动的行为和几何形态，其中注入流体驱替原地流体，并在二者之间形成尖锐界面。本研究扩展了解析解，以纳入界面的机械弥散。这些解被反演，用于将时间求解为位置 (r,z) 的函数，从而为含水层中的每个位置赋予一个交汇时间，对应于运动界面与所关注点相交的时刻。具有相同交汇时间的 (r0,z0) 位置集合被视为表示“有效表面”的虚拟变量，并通过对其积分来求解含水层内的速度场。利用该速度场，可以解析地求出由机械弥散产生的浓度剖面。结果表明，注入流体的浓度围绕非混溶解所给出的界面位置平滑衰减，从而使注入流体能够以可检测的量存在于这些界面范围之外。在为注入井应用（如碳捕集与封存或地下水应用）中的流体划定外边界时，应考虑这种浓度扩散。
英文摘要：
This study outlines a model for injected fluid flow in a vertically confined porous aquifer with mechanical dispersion. Existing studies have investigated the behaviour and geometry of immiscible fluid flow in this setting, where the injected fluid displaces the resident fluid, forming a sharp interface between the two. The present study extends analytical solutions to include mechanical dispersion of the interface. The solutions are inverted to solve for time as a function of position (r,z), giving each position in the aquifer an intersection time corresponding to the moment the travelling interface intersects a point of interest. The set of (r0,z0) positions which share an intersection time are treated as dummy variables that represent an 'effective surface' and are integrated over to solve for the velocity field within the aquifer. Using this velocity field, the concentration profile resulting from mechanical dispersion can be found analytically.It is shown that the concentration of the injected fluid smoothly decays around the position of the interface from immiscible solutions, allowing for the injected fluid to be present in detectable quantities beyond the extent of these interfaces. This concentration spread should be considered in defining outer boundaries on fluids in injection well applications such as carbon capture and storage or groundwater applications.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
